Existence of solutions for a new class of fuzzy differential inclusions with resolvent operators in Banach spaces

被引：14

作者：

Van Hung, Nguyen ^{[1
,2
]}

Tam, Vo Minh ^{[3
]}

O'Regan, Donal ^{[4
]}

机构：

[1] Ton Duc Thang Univ, Dept Management Sci & Technol Dev, Ho Chi Minh City, Vietnam

[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[3] Dong Thap Univ, Dept Math, 783 Pham Huu Lau St,Ward 6, Cao Lanh City, Dong Thap, Vietnam

[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2020年 / 39卷 / 02期

关键词：

Fuzzy differential inclusions; Resolvent operator; Fixed point theorem; Selection theorem; GLOBAL EXPONENTIAL STABILITY; H-MONOTONE OPERATOR; VARIATIONAL INCLUSIONS; DYNAMICAL-SYSTEMS; INEQUALITIES; ALGORITHM;

D O I：

10.1007/s40314-020-1074-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new class of fuzzy differential inclusions with resolvent operators in Banach spaces using (H(center dot,center dot),eta)-monotone operators is introduced and studied. A continuous selection theorem and fixed point theory are used to establish the existence of solutions. Finally, as applications, we consider special cases of fuzzy differential inclusions with general A-monotone operators. Some examples are given to illustrate our results.

引用

页数：23

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